Search a number
-
+
540339750 = 23253240151
BaseRepresentation
bin100000001101001…
…110111000100110
31101122202002210100
4200031032320212
52101311333000
6125341204530
716250545356
oct4015167046
91348662710
10540339750
1125800a285
12130b60746
1387c3a482
1451a96b66
1532685a00
hex2034ee26

540339750 has 48 divisors (see below), whose sum is σ = 1461084768. Its totient is φ = 144090000.

The previous prime is 540339743. The next prime is 540339757. The reversal of 540339750 is 57933045.

540339750 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540339743) and next prime (540339757).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540339757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117826 + ... + 122325.

It is an arithmetic number, because the mean of its divisors is an integer number (30439266).

Almost surely, 2540339750 is an apocalyptic number.

540339750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540339750 is an abundant number, since it is smaller than the sum of its proper divisors (920745018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540339750 is a wasteful number, since it uses less digits than its factorization.

540339750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240174 (or 240161 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 540339750 is about 23245.2091838297. The cubic root of 540339750 is about 814.4960312826.

The spelling of 540339750 in words is "five hundred forty million, three hundred thirty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250 240151 480302 720453 1200755 1440906 2161359 2401510 3602265 4322718 6003775 7204530 10806795 12007550 18011325 21613590 30018875 36022650 54033975 60037750 90056625 108067950 180113250 270169875 540339750